inequality
Source: Indonesia IMO 2007 TST, Stage 2, Test 4, Problem 1
November 15, 2009
inequalitiesinequalities proposed
Problem Statement
Let be real numbers. Prove that (ab\plus{}bc\plus{}ca\minus{}1)^2 \le (a^2\plus{}1)(b^2\plus{}1)(c^2\plus{}1).